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We study a system of fermions interacting with a scalar field, in 4+1 dimensions where the 5th dimension is compactified, using an exact functional method, where quantum fluctuations are controlled by the amplitude of the bare fermion mass.…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jean Alexandre , Konstantinos Farakos

The dynamical generation of a fermion mass is studied within ($2+1$)-dimensional QED with $N$ four-component fermions in the leading and next-to-leading orders of the 1/N expansion. The analysis is carried out in the Landau gauge which is…

High Energy Physics - Theory · Physics 2016-10-05 A. V. Kotikov , V. I. Shilin , S. Teber

We investigate a dynamical mechanism to generate fermion mass in the Randall-Sundrum background. We consider four-fermion interaction models where the fermion field propagates in an extra-dimension, i.e. the bulk four-fermion interaction…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kenji Fukazawa , Tomohiro Inagaki , Yasuhiko Katsuki , Taizo Muta , Kensaku Ohkura

A well-defined local non-Abelian gauge connection involving a rank-p gauge B-field was introduced a decade ago. This was achieved by introducing doublet groups and doublet-assembled connections that can act on a doublet of matter fields,…

High Energy Physics - Theory · Physics 2015-05-18 M. Botta Cantcheff , J. A. Helayel-Neto

We show by means of an exact numerical approach that the momentum distribution of a free expanding gas of hard-core bosons on a one-dimensional lattice approaches to the one of noninteracting fermions, acquiring a Fermi edge. Yet there is a…

Statistical Mechanics · Physics 2007-05-23 Marcos Rigol , Alejandro Muramatsu

The 1-loop self-energy of a Dirac electron of mass m propagating in a thin medium simulating graphene in an external magnetic field B is investigated in Quantum Field Theory. Equivalence is shown with the so-called reduced QED_{3+1} on a…

High Energy Physics - Phenomenology · Physics 2018-03-14 Bruno Machet

It is well known that only the axial piece of the torsion couples minimally to fermions in a Riemann-Cartan geometry, while the other ones decouple. In this paper, we consider the Dirac field minimally coupled to a dynamical background with…

General Relativity and Quantum Cosmology · Physics 2022-02-28 J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

We investigate and contrast the non-perturbative infra red structure of N=1 and N=2 supersymmetric non-compact U(1) gauge field theory in three space-time dimensions with N matter flavours. We study the Dyson-Schwinger equations in a…

High Energy Physics - Theory · Physics 2016-08-25 A. Campbell-Smith , N. E. Mavromatos

We consider a U(1) gauge theory, minimally coupled to a massless Dirac field, where a higher-derivative term is added to the pure gauge sector, as in the Lee-Wick models. We find that this term can trigger chiral symmetry breaking at low…

High Energy Physics - Phenomenology · Physics 2008-11-26 Emidio Gabrielli

We discuss the low-energy dynamics of massless Dirac fermions interacting with a propagating, relativistic photon in 2+1 spacetime dimensions, when we turn on a uniform magnetic field. This problem can be solved when the magnetic field is…

High Energy Physics - Theory · Physics 2025-08-06 Thomas T. Dumitrescu , Juan Maldacena

We show that, in frameworks of the economical 3-3-1 model, all fermions get masses. At the tree level, one up-quark and two down-quarks are massless, but the one-loop corrections give all quarks the consistent masses. This conclusion is in…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. V. Dong , D. T. Huong , Tr. T. Huong , H. N. Long

We consider the problem of the ordinary charged fermion mass patterns in the framework of a version of the 3-3-1 electroweak gauge model, which includes charged heavy leptons. The masses of the top and the bottom quarks are given at the…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. D. Tonasse

The (2+1)-dimensional generalized massless Thirring model with 4-component Fermi-fields is investigated by the Hartree-Fock method. The Lagrangian of this model is constructed from two different four-fermion structures. One of them takes…

High Energy Physics - Theory · Physics 2022-10-19 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

We reformulate the Thirring model in $D$ $(2 \le D < 4)$ dimensions as a gauge theory by introducing $U(1)$ hidden local symmetry (HLS) and study the dynamical mass generation of the fermion through the Schwinger-Dyson (SD) equation. By…

High Energy Physics - Theory · Physics 2009-10-28 Taichi Itoh , Yoonbai Kim , Masaki Sugiura , Koichi Yamawaki

Intrinsic spin of fermions can generate torsion in spacetime. This torsion is a non-propagating field that can be integrated out, leaving an effective non-universal four-fermion interaction. This geometrical interaction affects fermions…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Shibendu Gupta Choudhury , Sagar Kumar Maity , Amitabha Lahiri

The dynamical fermion mass generation in the 4-dimensional brane is discussed in a model with 5-dimensional Kaluza-Klein fermions in interaction with 4-dimensional fermions. It is found that the dynamical fermion masses are generated beyond…

High Energy Physics - Phenomenology · Physics 2010-11-19 Hiroyuki Abe , Hironori Miguchi , Taizo Muta

Radiatively generated fermion masses without tree level Yukawa couplings are re-analyzed within supersymmetric models. Special emphasis is given to the possible appearance of color and charge breaking vacua. Several scenarios in which the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Francesca Borzumati , Glennys Farrar , Nir Polonsky , Scott Thomas

We study the mass generation of self-dual two form gauge field by topologically coupling it to the three rank anti-symmetric field. We use the various non-covariant Lagrangian of self-dual two form to perform the analysis and find that the…

High Energy Physics - Theory · Physics 2012-06-19 Wung-Hong Huang

In this paper we consider an axial torsion to build metric-compatible connections in conformal gravity, with gauge potentials; the geometric background is filled with Dirac spinors: scalar fields with suitable potentials are added…

General Relativity and Quantum Cosmology · Physics 2014-03-12 Luca Fabbri

A Lorentz violating modification of massless QED is proposed, with higher order space derivatives for the photon field. The fermion dynamical mass generation is studied with the Schwinger-Dyson approach, and it is found that the resulting…

High Energy Physics - Phenomenology · Physics 2013-03-11 Jean Alexandre
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